Question

How many samples of size 3 are possible from a population of size 10?

Answer 1

120 possible samples

====================

Use the formula for combinations:

• nCk = n! / (k!(n - k)!), where n is the population size and k is the sample size

Plugging in the values from the question:

• n = 10 and k = 3

Calculating the number of possible samples:

• 10C3 =
• 10! / (3!(10 - 3)!) =
• 10! / (3!7!) =
• (10 * 9 * 8) / (3 * 2 * 1) =
• 120

So there are 120 possible samples of size 3 from a population of size 10.